1 Introduction

Currently, there is a high growth rate of industrial consumption of various types of amorphous silica. In high-tech industries, the use of SiO2 in nanodispersed form—sols, gels and powders—is expanding. Due to the high specific surface area (up to 1000 m2/g) and chemical activity, SiO2 nanoparticles are used to create materials with improved or new properties. There are known applications of nano-SiO2 for the production of ceramics, glass, precision casting molds, catalyst supports, sorbents, rubber fillers, polymeric materials, paper, thin coatings—nanofilms, fluorescent plates, as well as in the construction industry, medicine, and agriculture. Accordingly, it is relevant to search for new sources and technologies for producing nanosized SiO2 with low cost.

The sol–gel process is a developed method for producing solid materials based on molecular forms of a substance [1, 2]. At the first stage of the process, hydrolysis and polycondensation of molecules and the production of sols of colloidal particles are used as precursors for the final products, in a large number of cases based on metal alkoxides and chlorides. The precursor for SiO2 is tetraethoxysilane and alkali metal silicates (Na, K, Li). The sol–gel process uses sol–gel transition, catalysis, coagulation and precipitation, centrifugation, drying to remove the solvent, ultrasonic cavitation to break the polymer chains, and reduce the molecular weight, etc. The structure and morphology of the final solid phase can be in a wide range from individual unbound colloidal particles to extended chain networks of polymers [3, 4]. Under certain conditions, colloidal particles of sols can reach significant sizes, while precipitating and forming crystal-like matrices of noble opal [5]. If the interaction forces between the particles are strong enough, then they can form bound polymer chains before they reach significant size. In this case, polymer chains are precipitated by aggregation or flocculation, forming a low-density polymer matrix, suitable for the formation of glass, and ceramic components of high performance in two-dimensional and three-dimensional form [6]. With a suitable sol viscosity, glass and ceramic fiber can be isolated for optical sensors and heat insulators. A wide range of ceramic powders can be obtained by sol deposition. When creating nanomaterials, the great importance is attached to the monodisperse distribution of particles to achieve a high degree of ordering in colloidal crystals and polycrystalline solid colloids resulting from aggregation [7,8,9].

The use of materials obtained by the sol–gel method is widely known—these are protective coatings, including those using spraying, electrophoresis, injection [10, 11]; thin coatings and fibers [12]; nanopowders; optical elements [13, 14]; medical preparations [15]. SiO2 is one of the most common components for producing nanopowders, thin films, fibers, nanotubes, nanowires, monodispersed spheres with a solid core and mesoporous coating, additives to hard films to increase tensile strength, hardness of hybrid coatings, porous composite ceramics, SiO2–MexOy nanocomposites, etc. [16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32]. The possibility of obtaining colloidal SiO2 based on cheap waste of glass powder was shown in [33].

From the point of view of sol–gel process, hydrothermal media are a new precursor for the production of SiO2 sols, gels, nanopowders. For the full development of this resource requires the development of a technological route taking into account the parameters of the hydrothermal medium:

  1. (1)

    Temperature, pH, ion concentration, ionic strength of the hydrothermal medium;

  2. (2)

    kinetics of the formation of SiO2 nanoparticles as a result of polycondensation of orthosilicic acid (OSA);

  3. (3)

    sizes, concentration, morphology of SiO2 nanoparticles;

  4. (4)

    stability of SiO2 nanoparticles in an aqueous medium, etc.

The purpose of the article is to determine the parameters of the processes necessary to obtain nanodispersed forms of SiO2 on the basis of a hydrothermal medium: SiO2 sols, gels, and mesoporous nanopowders with controlled characteristics.

2 Materials and preparation

2.1 Characteristics of the hydrothermal solution

To obtain nanosized forms of SiO2, hydrothermal medium of the Mutnovsky deposit (south of Kamchatka, Russia) was used, which contain SiO2 due to the dissolution of the aluminosilicate minerals of the earth’s crust (orthoclase, microcline K(AlSi3O8), albite Na(AlSi3O8), anorthite Ca(Al2Si2O8), and others). In hydrothermal medium under conditions of elevated pressures (15–25 MPa) and temperatures (250–300 °С and higher), molecules of OSA are formed. After the solution reaches the surface, pressure and temperature decrease, the hydrothermal medium becomes supersaturated with respect to the solubility of amorphous silica and hydrolysis and polycondensation of OSA molecules take place in it, leading to the formation of spherical SiO2 nanoparticles with diameters from 5–100 to 300–600 nm:

$${\mathrm{Si}}_{\mathrm{m}}{\mathrm{O}}_{{\mathrm{(m - 1)}}}\left( {{\mathrm{OH}}} \right)_{\left( {{\mathrm{2m + 2}}} \right)}\,+\,{\mathrm{Si}}_{\mathrm{n}}{\mathrm{O}}_{{\mathrm{(n - 1)}}}\left( {{\mathrm{OH}}} \right)_{{\mathrm{(2n + 2)}}} \,\to {\mathrm{Si}}_{{\mathrm{(m + n)}}}{\mathrm{O}}_{{\mathrm{(m + n - 1)}}}{\mathrm{OH}}_{\left( {{\mathrm{2n + 2m + 2}}} \right)}\,+\,{\mathrm{H}}_{\mathrm{2}}{\mathrm{O}}$$

In addition to silica in the initial solution are other components, the concentrations of which are shown in Table 1.

Table 1 Characteristics of the hydrothermal solution from the Mutnovsky geothermal electric power plant productive wells

The amount of silicon that entered the solution during chemical interaction with the rocks can be estimated from the solubility of Cqu (mol/kg) of α-quartz in pure water at absolute temperature T (K) [34]:

$${\mathrm{lg}}C_{qu} = - 1.468 + 252.9/T-3.217 \times 10^5/T^2$$
(1)

In a supersaturated hydrothermal medium, the solubility of amorphous silica Ce (mol/kg) versus absolute temperature T was evaluated using the following equation [35]:

$$\displaystyle{\mathrm{lg}}C_e = - 0.1185 - 1.126 \times 10^3/T + 2.3305 \times 10^5/T^2 - 3.6784 \times 10^7/T^3$$
(2)

Polyatomic aggregates resulting from polycondensation acquire a three-dimensional structure in the form of colloidal silica particles. After completion of the polycondensation, part of the silicon continues to remain in the form of molecules of OSA H4SiO4, the concentration of Cs of which is close to the solubility of amorphous silica Ce (T) in equilibrium with colloidal silica. In addition to colloidal particles and silicic acid molecules, a small amount of silicic acid ions (H3SiO4, H2SiO42−, HSiO3, etc.) and polysilicon acid macromolecules are present in the solution. As follows from the results obtained in [36], at a temperature of 20–180 °C and pH = 7.0–9.2, the proportion of dimers with respect to OSA, whose concentration is close to the solubility of Ce (T), does not exceed 1.0%, the proportion of trimers is 0.1%, tetramers and low molecular weight cyclic polymers (up to 6 units of SiO2) <0.1%. The fraction of H3SiO4 and H2SiO42− ions under these conditions does not exceed 14.0%. The sum of the concentrations of colloidal silica Ccol, soluble silicic acid Cs and silicic acid ions Cin is the total content of silica in the solution Ct:

$$C_t = C_{col} + C_s + C_{in}$$
(3)

2.2 Preparation of sols, gels, and nanopowders

The final particle sizes of silica depend primarily on the temperature and pH at which the polycondensation of the OSA molecules takes place. An increase in the polycondensation temperature and a decrease in pH slow down the reaction and increase the final particle size. At the polycondensation stage, the temperature ranged from 20 to 90 °C (precooling in heat exchangers), pH from 9.2 to 4.0 (solution acidification). The range of silica concentrations in the initial solution is Ct = 400–800 mg/kg (the sum of the concentrations of the colloidal phase and dissolved silica).

Concentrated silica sols were obtained from the liquid phase of hydrothermal solutions after OSA polycondensation by a three-step ultrafiltration membrane concentration: at the first step—the SiO2 content in sol was increased from 0.05 to 0.3–0.4 wt%, at the 2nd step—up to 10 wt%, on the 3rd—up to 20–30 wt% and higher. The capillary type ultrafiltration membrane cartridge had an inner diameter of capillaries of 0.8 mm, a filtering surface area of 55 m2, and a minimum mass weight cut off parameter MWCO = 10–100 kD.

Gel samples were obtained from concentrated sols by acidification and lowering the pH from 8–9 to 5–6.

SiO2 nanopowders were obtained by cryochemical vacuum sublimation of sols and gels. Before sublimation in a vacuum chamber, the sols and silica gels were dispersed using a nozzle, the droplets were solidified in liquid nitrogen at a temperature of 77 K, and cryogranules were obtained. After dispersion, the droplet size was 30–100 μm, the corresponding average droplet cooling rate was about 125 K/s, and the crystallization rate was 0.26 mm/s. The small size of the sol droplets, as well as the high heat transfer surface made it possible to achieve a quick hardening of the droplets, and the absence of particle coagulation. The particle sizes in the powders did not exceed the particle sizes in the sols. Vacuum sublimation took place at pressures of 0.02–0.05 mmHg without fragments of droplet moisture and particles sticking together. To accelerate sublimation, the heating was used. The temperature range of the heating surfaces in different parts of the vacuum chamber as it was heated during sublimation was from −80 to +25 °C.

2.3 Methods of investigations

To study the characteristics of sols and powders, modern methods were used: dynamic light scattering and electrophoretic light scattering (Zetasizer, Malvern, UK), scanning electron microscopy (SEM), transmission electron microscopy (TEM), scanning transmission electron microscopy in a high-angle annual dark field (STEM HAADF), scanning transmission electron microscopy in a bright field (STEM BF) (JEM-100CX, JEOL, Japan), low-temperature nitrogen adsorption (ASAP-2010, Micromeritics, USA), X-ray diffraction analysis (ARL X’TRA, Thermo Scientific, Switzerland). To determine the concentration of impurity components in nanopowders, a S4 PIONEER X-ray fluorescence spectrometer (Bruker, GmbH, Germany) was used.

The dependences of the shear stress τ and the dynamic viscosity η of sols and gels on the strain rate Gp were measured under shear strain using a RheoStress rheometer (Haake, GmbH, Germany) in the mode of oscillating (dynamic) strains in the range rotation frequencies of plate Gp from 0.1 to 1000.0 Hz with varying shear stress amplitude from 0.01 to 10,000.0 Pa.

Sol’s density was measured by areometers. To measure pour density of noncompacted silica nanopowders Scott’s volumeter PT-SV100 with inclined shelves to pour powder’s samples in tested volume was used.

The OSA and total silica contents in hydrothermal solutions and concentrated sols were measured by the yellow molybdate colorimetric method of Iler [37].

The total dissolved salts (TDS, mg/dm3) of sols as well as electrical conductivity were measured with an I-500 ionometric transducer.

3 Kinetics of polycondensation of orthosilicic acid in a hydrothermal medium

The nucleation rate of silicic acid in an aqueous solution (nucl/(kg s)) is described by the equation [38, 39]:

$$I_N = Q_{LP} \cdot Z \cdot R_{MD} \cdot A_{cr} \cdot N_A \cdot M_{Si}^{ - 1} \cdot e^{ - \Delta F_{cr}/k_B \cdot T}$$
(4)

where QLP = 3.34·1025 kg−1 the Lohse-Pound factor; kB—the Boltzmann constant;

MSi—the molar mass of SiO2; NA—the Avogadro number; T—the absolute temperature, K;

Acr = 4·π·Rc2—critical nucleus surface area, m2;

ΔFcr = σsw·Acr/3 = (16·π/3)·σsw3(MSi/ρ·NA·kB·T·lnSm)2—change in free energy associated with the formation of a nucleus of critical radius Rc; ρ—density of amorphous silica, kg/m3;

σsw—surface tension at the silica–water interface, J/m2; Z—Zeldovich factor.

$$Z = \sqrt {\frac{{\partial ^2\Delta F_{cr}/\partial n_{cr}^2}}{{2 \cdot \pi \cdot k_B \cdot T}}}$$
(5)

where ncr = (4·π/3). (ρ·NA/MSiRc3—number of SiO2 molecules in the nucleus of critical size;

Rc = 2·σsw·MSi/(ρ·NA·kB·T·lnSm) critical radius; RMD—the rate of molecular deposition of silicic acid (g cm2 min−1), which determines the particle growth rate:

$$R_{MD} = F\left( {pH,pH_{nom}} \right) \cdot k_{OH}\left( T \right) \cdot f_f\left( {S_a} \right) \cdot \left( {{\it{1 - S}}_{\it{N}}^{{\it{ - 1}}}} \right)$$
(6)

where kOH(T), F(pH, pHnom), ff(Sa)—auxiliary functions depending on temperature, pH, ionic strength Is, and supersaturation Sm.

3.1 Kinetics of polycondensation at 20 °С

Table 2 lists the results of determining the concentration of silicic acid Cs depending on the polymerization duration t, as well as the supersaturation Sm=Cs(t)/Ce(20 °С) of the solution. Figure 1a shows the experimental dependence of the supersaturation Sm=Cs(t)/Ce on the polymerization duration tp obtained in the first series of measurements at Ce = 160.7 mg/kg. The characteristic polycondensation time, at which the value of supersaturation decreased e = 2.71 times from the initial one, was τp = 1.98, h = 118.8 min.

Table 2 The dependence of the concentration of silicic acid on the duration of polymerization in a hydrothermal solution at a temperature of 20 °C, Ct = 411.25 mg/kg, pH = 8.47, Ce = 160.7 mg/kg
Fig. 1
figure 1

OSA polycondensation data in a hydrothermal medium at different pH and temperatures. a 20 °С, pH = 8.47; b 50 °С, pH = 8.75; c 20 °С, pH = 8.7; d 20 °С, pH = 8; e 20 °C, pH = 7, 6, 5, 4

3.2 Kinetics of polycondensation at 50 °С

The experiments on the kinetics of polycondensation were performed at 50 °C (Fig. 1b). For experiments, a sample of the solution was heated to 100 °C and maintained at this temperature for a time sufficient to dissolve colloidal silica. The initial concentration of Cs silicic acid corresponded to the solubility of amorphous silica at 100 °C. Then, the temperature of the solution was quickly lowered to 50 °C and the decrease in the concentration of Cs with time was determined at 50 °C, pH = 8.75, Ce(50 °C) = 206.9 mg/kg. The time τp at 50 °С was 4.0 h.

3.3 Kinetics of polycondensation at different pH

Figure 1c–e presents the results of a series of experiments to study the effect on the kinetics of polycondensation of the pH of an aqueous solution at 20 °C. Before starting measurements, water samples were heated at 96–98 °C to dissolve colloidal silica, and then quickly cooled to 20 °C and acidified to a predetermined pH value. Time τp for different pH values: pН = 8.0—τp = 9.2 h; pH = 7.0—τp = 14.2 h; pH = 6.0—τp = 225 h; pH = 6.0—τp = 225 h; pH = 5—τp = 377.5 h, pH = 4.0—τp = 3240 h. A decrease in pH to 5.0–4.0 was lead to an almost complete inhibition of the polycondensation of OSA.

With a decrease in the polycondensation temperature and an increase in the initial supersaturation Sm, the nucleation rate IN increased and, accordingly, the final average diameter dm of SiO2 nanoparticles decreased, the polycondensation of OSA passed faster (Eqs. (46)). At pH = 8.5–9.3 and temperatures of 65–90 °C, the dm values were 59–90 nm, at 40–65 °C, dm = 40–60 nm, and at 20–40 °C, dm = 5–40 nm (Fig. 2).

Fig. 2
figure 2

Histograms of the distribution of sizes of silica nanoparticles in samples of sols obtained by dynamic light scattering. Temperature of OSA polycondensation was: a 25 °C, dm = 14 nm; b 45 °C, dm = 47.4 nm; c 75 °C, dm = 72.7 nm

4 Preparation of SiO2 sols and their characteristics

The size distribution of sol particles was determined by dynamic light scattering, and the particle zeta potential was determined by electrophoresis. Figure 3 shows the results of determinations for one of the samples of the sol having the characteristics: density of the sol ρs = 1080 g/dm3, SiO2 content = 150 g/dm3, pH = 8.6, average particle diameter of SiO2dm = 41.6 nm, average value of zeta potential of the surface of SiO2 particles ξm = −28.2 mV). The distribution curve of zeta potentials (Fig. 3b) was determined by the combined method: comprehensive electrophoresis and dynamic light scattering, which allows one to take into account the particle size and its effect on the particle velocity when an external electric field is applied.

Fig. 3
figure 3

Particle sizes and zeta potential of particles in a sol sample: a a histogram of the distribution of sizes of silica sol nanoparticles; b the zeta potential of the surface of sol nanoparticles

The highest SiO2 content in sols was 62.5 wt% ([SiO2] = 940 g/dm3). Sols with SiO2 content up to 62.5 wt% remained stable according to visual observations for at least 6 months. Table 3 shows the data on the control of changes in the average values of the diameter and zeta potential of the particle surface in sols within 300 days after preparation at various SiO2 contents in the range from 2.06 to 82.5 g/dm3 (average diameters are determined by intensity of scattered light). In the period from 1 to 300 days, the average values of the diameter and zeta potential changed relatively insignificantly, without loss of particle stability, aggregation, flocculation, or gelation over 300 days.

Table 3 The results of determining the average values of the diameter and zeta potential of the surface of the sol particles at various contents of SiO2 in sols in the period 1–300 days after preparation

Images of a fragment of SiO2 sol particles obtained by scanning transmission spectroscopy in a dark field (Fig. 4a) and a bright field (Fig. 4b) showed the homogeneity of the amorphous structure of the material and the absence of ordered crystalline inclusions consisting of heavy elements with a large chemical element number Z. The energy dispersive fluoroscopy of the selected fragment (Fig. 4c) indicates that the elemental composition of the material is largely represented by Si and O, no impurities of other elements were detected. The spherical shape of SiO2 particles, as well as their diameters and the absence of internal structures made up of atoms of heavy elements are shown by the image obtained by TEM (Fig. 4d, e).

Fig. 4
figure 4

STEM HAADF, STEM BF, and TEM images of SiO2 sol particles and EDX energy dispersive fluoroscopy. The content of SiO2 is 178.7 g/dm3. a STEM HAADF image; b STEM BF image; c STEM HAADF image of particles and the results of EDX energy dispersive spectroscopy at selected point 1; d TEM image of particles; e TEM image of SiO2 particle

At different SiO2 contents in sols, the dependences of salinity and electrical conductivity were determined. Due to the use of ultrafiltration (parameter MWCO = 10–100 kD), the TDS content and the electrical conductivity of sols increased relatively weakly with increasing SiO2 content. In this case, the dimensionless parameter ms = [SiO2]/TDS with an increase in the SiO2 content (mg/dm3) reached values of 300 or more (Table 3 and Fig. 5). Pores of ultrafiltration membrane on which a gel layer were accumulated caught SiO2 nanoparticles. In this case, impurity ions passed through the gel layer and the pores of the membrane. SiO2 nanoparticles accumulated in the concentrate faster than cations and anions, especially up to the content of [SiO2] = 200–240 g/dm3, respectively, the parameter ms rapidly increased with [SiO2] < 200–240 g/dm3, with [SiO2] > 200–240 g/dm3, the growth rate ms of the SiO2 content decreased. The specific electrical conductivity of sols increased from 1.2 mS/cm at a content of [SiO2] = 3 g/dm3 to 1.5 mS/cm at [SiO2] = 475 g/dm3. This can be explained by the fact that as the thickness of the gel layer increases, the sorption capacity with respect to cations and anions increases. The inverse parameter (1/ms) = TDS/[SiO2] continuously decreased with increasing [SiO2] content in the sol. Thus, using ultrafiltration based on a hydrothermal solution, it is possible to obtain a concentrate with a high SiO2 content and a low concentration of impurity ions—Na+, K+, Ca2+, Mg2+, Fe2.3+, Al3+, SO42−, Cl. Characteristics of sols are presented in Table 4.

Fig. 5
figure 5

Dependence of the parameter ms on the SiO2 content in silica sols

Table 4 Physical and chemical characteristics of water sols of silica obtained by ultrafiltration membrane concentration

5 SiO2 gels and its characteristics

STEM HAADF, STEM BF, and TEM images of gel particles with a SiO2 content of 10 wt% and the data of energy dispersive fluoroscopy are shown in Fig. 6. Images of SiO2 gel particles show the uniformity and absence of ordered crystalline structures in fragments of the material and inside individual particles (Fig. 6a, b, d). The chemical composition of the material is represented by Si and O elements (Fig. 6c).

Fig. 6
figure 6

STEM HAADF, STEM BF, and TEM images of SiO2 sol particles and EDX energy dispersive fluoroscopy. The SiO2 content in the gel is 10 wt %; (a) STEM HAADF—image; (b) STEM BF—image; (c) STEM HAADF—image of particles and the results of energy dispersive spectroscopy EDX at selected point 1; (d) TEM image of particles

Figure 6 compares the rheological parameters of sols and gels. The sols are characterized by a linear dependence of the shear stress on the strain rate τ (Gp) (Fig. 7a). The values of the dynamic viscosity of sols, determined by the minimum of the dependence η(Gp) in the Newtonian flow regime, for curves 3, 4, and 5, respectively, were η = 1.69, 1.76, and 1.86 MPa s (20 °C) (Fig. 7b). For gels, the dependence of the shear stress τ on the strain rate Gp showed the yield strength of the order of 1000 and 10 Pa at a certain strain rate Gp (Fig. 7a). Above this the shear stress ceased to change with increasing Gp, and the gel viscosity τ (Gp), accordingly, it began to decrease with increasing Gp (Fig. 7b). The gels showed the viscoplastic nature of the flow.

Fig. 7
figure 7

Rheological characteristics: a the dependence of the shear stress τ on the strain rate Gp; b the dependence of the dynamic viscosity η on the strain rate Gp. 1, 2—gels with SiO2 content, respectively, 10 and 3.3 wt%; 3, 4, 5—sols with a SiO2 content of 1.4, 2.8, and 3.3 wt%

6 Preparation of mesoporous SiO2 nanopowders

Cryogranules of sols and gels were subjected to vacuum sublimation to obtain powder samples. The UF-CVS-44 sample was obtained by cryochemical vacuum sublimation of a sol in which the SiO2 content was increased by ultrafiltration membrane concentration to 40 g/dm3. Figure 8 shows the adsorption–desorption curve; Fig. 9 shows differential and integral distribution of the pores area and volume; Table 5 shows pore characteristics of the UF-CVS-44 sample (method of low-temperature nitrogen adsorption).

Fig. 8
figure 8

Sorption–desorption curves for nanopowder obtained by vacuum sublimation

Fig. 9
figure 9

Characteristics of pores of UF-CVS-44 powder: a an integral curve of the distribution of area over pore diameters; b integral curve of the distribution of volume over pore diameters; c differential curve of the distribution of area by pore diameters; d differential curve of the distribution of volume over pore diameters

Table 5 Characteristics of pores of UF-CVS-44 powder

The spherical shape of the nanopowder particles obtained by cryochemical vacuum sublimation of a sol with a SiO2 content of 22.5 g/dm3 was established by the SEM method with magnification factors from ×100,000 to ×250,000 (Fig. 10).

Fig. 10
figure 10

SEM images of silica powder nanoparticles (a) ×100,000; (b) ×250,000 times

By reducing the temperature of the hydrothermal solution at the OSA polycondensation stage from 90 to 20 °С, it was achieved a decrease in the size of SiO2 particles and, accordingly, an increase in their specific surface area and, correspondingly, a decrease in the average pore diameter dp:

$$d_p = 4\cdot V_p/S_{\rm{BET}}$$
(7)

With a decrease in temperature at the OSA polycondensation stage to 20 °С, the nanopowder BET-area increased to 500 m2/g, the pore volume was in the range 0.20–0.30 cm3/g, and the average pore size decreased to 2.0 nm.

When the content of [SiO2] in sols was from 2.4 to 90 g/dm3, the pour density of ρp powders after sublimation of water molecules from cryogranules and replacing them with air molecules was higher than the content of SiO2 in sols and gels, i.e., SiO2 nanoparticles compacted in volume after sublimation of water molecules (Table 6). So at [SiO2] = 2.4 g/dm3, ρp was 20.5 g/dm3. When the content of [SiO2] in sols and gels was higher than 90 g/dm3 after the sublimation of water molecules, the SiO2 nanoparticles were disaggregated in the volume with air molecules, and the powder density ρp became lower than the value of [SiO2]: at [SiO2] = 520 g/dm3, ρp = 274 g/dm3. In the range of [SiO2] contents in sols from 100 to 520 g/dm3, the ρp ([SiO2]) dependence was close to linear.

Table 6 Pour density of nanopowders ρp depending on the SiO2 content in the sol

Nanopowders samples had X-ray amorphous structure (Fig. 11). It was found [40] by comparison of thermogravimetric mass losses in the interval 200–1000 °C with Zhuravlev’s constant that the density of surface silanol Si–OH groups in samples of hydrothermal nanopowders reaches 4.9 nm–2, which provided its high chemical activity. The SiO2 content in powders was rised up to 99.7 wt%.

Fig. 11
figure 11

X-Ray diffraction data of amorphous silica nanopowder. (CuKa wave length λ = 1.54 Å)

Samples of SiO2 nanopowder with specific surface area SBET = 410 m2/g were compacted on a hydraulic press at pressures of 1000–2000 MPa for 2 h, then, after hardening, they were calcined at a temperature of 1000 °C for 2 h. After compaction and calcination, the compressive strength of solid samples was determined using a Shimadzu instrument complex with registration of the stress–strain curves (Fig. 12). The compressive strength reached 337 MPa. This indicates a high specific surface and density of the surface silanol groups of SiO2 nanopowders. Sizes of the sample—(thickness × width × height), mm: 5.0 × 11.9 × 2.9; sample density—1.7 g/cm3; indentation speed—1 mm/min; maximum force—20057.6 N; maximum stress—337.1 N/mm2; stroke amplitude—1.681 mm; maximum elongation—1.681 mm; maximum deformation—57.88%; maximum time—100.95 s.

Fig. 12
figure 12

Compression strength test results for a compacted SiO2 nanopowder. a The appearance of a compacted SiO2 nanopowder obtained by vacuum sublimation of a gel; b the force–elongation curve when testing a compacted sample for compressive strength

7 Prospects for research and applications of hydrothermal nanosilica

The obvious continuation of the work is follows research:

  1. (1)

    Processes of formation of thin films by sol–gel transition;

  2. (2)

    formation of glasses;

  3. (3)

    formation of ceramic forms based on sols and nanopowders;

  4. (4)

    receiving airgels;

  5. (5)

    receiving heat insulators;

  6. (6)

    obtaining noble opal matrices by manipulating the parameters T, pH, IN, Rmd and reconstructing the conditions for the existence of hydrothermal nanocolloids [41];

  7. (7)

    optical properties of sols with a surface modified by metal nanoparticles [42];

  8. (8)

    rheological properties of sols and gels at different ages,

  9. (9)

    sorption capacity of mesoporous nanopowders.

Using SiO2 nanoparticles of sols and nanopowders having a high and chemically active surface, it is possible to purposefully influence to [43,44,45,46,47]:

  1. (1)

    Kinetics of hydration of the main cement minerals C3S, C2S, C3A, C4AF;

  2. (2)

    reducing the size and shape of the particles of the gel of the hydrates of calcium silicate C–H–S, increasing the density of their packaging;

  3. (3)

    increase the volume fraction of C–H–S gel with greater elasticity and hardness, and, as a result, increase the compressive and bending strength of concrete, reduce pore volume, increase frost resistance, chemical resistance, and, as a result, the durability of concrete.

A sufficiently developed application of hydrothermal nanoparticles of sols and SiO2 powders is the intensification of photosynthesis in plant cell chloroplasts due to the photoluminescent radiation of SiO2 nanoparticles, an increase in the proportion of photosynthetic pigments of chlorophylls a and b. As a result, an increase in the growth rate, biochemical and biometric indicators at all stages of plant growth and development, a significant increase in the yield of agricultural plants [48]. Hydrothermal nanosilica is used as a feed additive that increases the productivity of farm animals [49].

Nontoxic sols, gels, and mesoporous nanopowders can be the basis for the creation of medicines:

  1. (1)

    Enterosorbents;

  2. (2)

    Carrier nanoparticles for targeted delivery of drugs fixed on the surface of nanoparticles to cells of various body tissues or capsule shells containing medicinal substances inside [50];

  3. (3)

    Drugs that improve the strength and plasticity of the articular-bone tissue.

8 Conclusion

  1. (1)

    It is shown that, based on a hydrothermal solution, it is possible to obtain nanosized forms of SiO2—sols, gels, and powders. To achieve this, the use of OSA polycondensation at certain pH and temperature, ultrafiltration membrane concentration, sol–gel transition, and cryochemical vacuum sublimation is required.

  2. (2)

    With decreasing temperature and increasing supersaturation of the hydrothermal medium Sm, the nucleation rate of IN increases, the duration of the process of polycondensation of OSA and the growth of SiO2 nanoparticles decreases, and the final average nanoparticle diameter dm decreases. A decrease in the pH of the hydrothermal medium reduces the IN rate, increases the final diameter dm of the nanoparticles, and leads to an increase in the duration of OSA polycondensation.

  3. (3)

    The choice of pore sizes of polymer ultrafiltration membranes (parameter MWCO 10–100 kD) can provide high selectivity for SiO2 nanoparticles and low selectivity for ions of dissolved salts. The value of the zeta potential of the surface of nanoparticles in concentrated sols falls within the range from −56 to −25 mV, which ensures particle stability to aggregation due to electrostatic repulsion and stability of sols with SiO2 content in sol up to 62.5 wt%.

  4. (4)

    By varying the temperature at the polycondensation stage from 20 to 90 °С at pH = 8.5–9.3, one can adjust the final mean particle diameter of SiO2 in the range from 5 to 100 nm, respectively, the specific surface area of the particles from 50 to 500 m2/g. The mean mesopore diameter of SiO2 powders, due to the specific surface area of the particles, is regulated within 2–15 nm. Bulk density of nanopowders depends on SiO2 content in sols.

  5. (5)

    By lowering the pH of sols to 5–6, gels with rheological characteristics depending on the SiO2 content can be obtained. The dependences of shear stress and dynamic viscosity on shear rate showed the viscoplastic nature of the flow of gels, in contrast to the Newtonian flow of sols.

  6. (6)

    The physical and chemical characteristics of hydrothermal nanosilica allow it to be used to produce various materials: thin films, glass, ceramics, concrete nanomodifiers, plant growth accelerators, and medications.